Worksheets7th grade review Day 3 (Probability and stats)
Total questions: 266
Worksheet time: 17hrs 25mins
A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?
1/3
1/6
1/2
2/3
A regular 6-sided die is to be rolled once. What is the probability that a number less than or equal to 4 is rolled?
1/2
1/4
5/6
2/3
A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?
1/8
1/2
1
3/8
There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?
1/2
1/7
2/15
2/17
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
Kevin is making an omelet. There are 7 types of meat and 2 types of cheese to choose from. How many different omelets can Kevin make using exactly one of each item?
7
14
9
24
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
Find the probability of these 3 events.
P(red, odd, 3)
*Remember to simplify.*
What is the P( not purple) on this spinner?
2/5
1/5
4/5
3/5
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?
2/7
1/6
5/7
25/26
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?
7/11
4/11
2/11
5/26
A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?
3/10
3/9
1/9
1/3
The chart below represents the number of marbles in a jar.
P(green) =
5/19
1/5
5/14
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
1/4
4/13
8/25
1/3
A spinner is spun twice. What is the probability of spinning green both times?
1/16
1/4
1/2
1/8
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?
2/7
5/49
5/7
10/49
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Marbles are taken one at a time without replacement. P(both marbles are purple)
2/9
1/3
1/2
1/4
P(white, then purple, then black)
Based on the chart, what is the experimental probability of pulling a green marble?
1/8
8/25
8/100
7/8
5 green
6 yellow
8 blue
7 brown
If 33% of the students at Warren Middle School have a pet, then what is the probability of the students who do not have a pet?
33%
77%
67%
50%
out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?
What is the probability of getting an odd number on the first roll and less than 3 on the second roll?
1/6
2/6
3/5
3/6
What is the probability of spinning green (as a percent)?
30%
20%
25%
50%
While Tim is waiting for class to start, he pulls a quarter from his pocket. How many outcomes are possible if he flips the quarter 3 times?
3
6
12
8
23
25
35
50
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
P( Yellow or green)
*Remember to simplify.*
Find the experimental probability:
Roll dice: 1, 3, 3, 4, 4
P(1) =
3/5
1/6
2/5
1/5
A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'm' then getting tails?
17/26
1/8
5/13
1/6
P(2, then odd)
What is the probability you will choose either a black or a white marble?
*remember to simplify*
What is sample space?
a process with an uncertain result
a possible result of an action
a list of all possible outcomes of an event
a single outcome or group of outcomes
Draw a tree diagram on a separate sheet of paper. Then answer this question. A girls' choir is choosing a uniform for their concert. They can pick red, green, or purple sweaters, and they can pick tan, white, or black skirts. The shoes they need come in gold and black. Assuming all the colors go together, how many different combinations can the choir pick?
3 combinations
12 combinations
8 combinations
18 combinations
P(green) =
Drawing a red card from a standard deck of cards
*Remember to simplify.*
P(white, then purple, then black)
12,10,10,10,13,12,11,13,10
20 30 40 50 60
5,11,2,12,4,2
3, 5, 7, 9, 11, 8, 3
7, 1, 1, 7, 1, 4, 1
0, 2, 4, 6, 8, 9
Based on the graph,how many more sunny days than rainy days did this city have during the months of April, May, and June?
For how many weeks was the data collected?
48
50
52
54
How many times did Mary score below a 60 on her tests?
4
5
3
0
Which table represents the data in the graph?
Is this an example of a population or a sample?
The number of pets in all households in a city.
population
sample
Is this an example of a population or a sample?
The number of pets in one household in a city.
population
sample
Is this sample biased or unbiased?
A sample of 50 students who currently have an A in math.
Biased
Unbiased
Is this sample biased or unbiased?
A sample of 50 randomly selected students.
Biased
Unbiased
Solve to find the equivalent fraction.
4/5 = x /15
8/15
12/15
10/15
solve to find the equivalent fraction.
1/3 = x/6
1/6
3/6
2/6
On a plate of wings, there are mild and hot wings. In a sample of 10 chicken wings, 4 are hot wings. If there are 50 wings on the platter, estimate how many are hot.
25/50
20/50
16/50
Look at the bar graph.
How many dogs do the students have?
7
6
5
Do they have more fish or cats?
Fish
Cats
Which class had the highest test score?
1st period
2nd period
Which class had the highest median?
2nd period
1st period
Use the data in the graph to make an inference.
If Hector has to close his shop either Thursday, Friday, Saturday, or Sunday, what day should he close it?
Friday
Sunday
Thursday
Saturday
Find the approximate mean absolute deviation of the following temperatures
{62, 54, 49, 62, 48, 53, 50}
5.7
4.6
3.5
6.8
The table shows the recorded speeds of several cars on Wendover Avenue last Saturday afternoon.
Estimate the mean absolute deviation.
4.8
5.7
5.3
4.5
The students in Mrs. Lewis' class took the reading benchmark in the spring of 2022. The following were the grades of the first 7 students in her homeroom.
54, 74, 80, 72, 88, 79, 64
What is approximate mean absolute deviation?
8.3
8.9
9.2
9.6
Find the difference in the ranges in the double box plot.
7
8
2
1
Determine the difference in the interquartile ranges.
25
20
30
15
The table shows the quiz scores for two students.
Find the difference in the averages.
4
5
7
6
How much greater is the median for men than the median for women?
5
4
3
2
Find the difference in the ranges.
6
10
8
5
The table shows the amount of money raised by the PTA on 12 different days.
How much greater is the median amount earned this year than the median amount eared last year?
19.5
18.5
17.5
20.5
How much greater is the range for Oxford than the range for Newport?
4
10
8
6
A
B
C
D
A
B
C
D
Which statement is NOT supported by the information in the dot plots?
A
B
C
D
Alex wants to have an average of 90 in her math class On the first 4 assignments she received 95, 85, 75, 100. What must she score on the 5th assignment to get an exact average of 90?
85
90
95
100
Find the difference in the medians.
Put the numbers in order from least to greatest first.
18.5
19.5
20.5
21.5
What is the mean of this set of data?
2, 15, 7
24
3
6
8
Find the mode:
3.8, 4.2, 4.0, 4.2, 4.2
4.2
3.8
4.0
4
What is the mean?
4, 5, 6, 7, 3, 4, 10, 1
7
4.5
5
8
What is the median for this list: 3, 9, 17, 11, 17, 3, 1
9
17 and 3
8.71
16
What is the mean for the dot plot?
35
30
70
85
What is the mean of this set of data?
2, 15, 7
24
3
6
8
2, 3, 4, 5, 5, 7
To find the average or mean of a set of numbers, add up all the items and divide by...
2
The minimum
The maximum
The number of items
5, 15, 10, 20, 15, 10, 15
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
median:7 mode:9 range:8
median:6 mode:3 range:7
median:7 mode:3 range:8
Calculate the MODE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7
7
7.44
8
7 and 8
What is the mean (average) of this data? Round to the nearest tenth.
8.0
8.3
7.5
9.0
{70, 70, 80, 85, 85, 90, 95, 95, 100, 100}
What is the middle number, or the mean of the two middle numbers, in an ordered set of data?
mode
median
IQR
lower quartile
What is the difference between the greatest and least values in a data set?
range
IQR
mean
data
What is the median of the upper half of a set of data?
spread
Q1
Q3
median
What is a measure used to describe the middle of a data set?
mean
mode
range
median
What is the difference between the upper and lower quartiles in a box plot?
range
Interquartile range
home on the range
o-range
What do we call the facts used to make decisions?
answers
data
variability
center
What do we call the median of the lower half of data?
Q1
Q2
Q3
Q4
What is a measure used to describe how much a data set varies?
dot plot
center
mode
spread
What is the name of the graph that uses quartiles, medians, and extremes?
box plot
histogram
dot plot
bar graph
What is the difference between the upper and lower quartiles in a box plot?
mean
range
IQR
quartile
58, 38, 54, 48, 26, 36
What does M.A.D stand for?
Mean as Dirt
Mean Average Deviation
Crazy
Mean Absolute Deviation
9, 7, 11, 10, 8
Find the Mean Absolute Deviation: (MAD)
10, 9, 3, 8, 10.
3
5
1
2
10, 8, 5, 12, 20
6, 7, 2, 1, 5, 2, 1, 6
True or false?:The absolute value of a number will always be positive.
True
False
What is the mean of the data: 15, 20, 25, 17, 18
15
16
18
19
What is the definition of Mean?
Last number minus the first number
Range of the numbers
Number that occurs the most often
Average of the numbers
What is the first step to solving for the Mean Absolute Deviation?
Find the mean of the new set of numbers
Find the mean of the given data set
Subtract the mean from each original data point
What is the second step to solving for the Mean Absolute Deviation?
Find the mean of the new set of numbers
Find the mean of the given data set
Subtract the mean from each original data point
What is the last step to solving for the Mean Absolute Deviation?
Find the mean of the new set of numbers
Find the mean of the given data set
Subtract the mean from each original data point
Find the Mean Absolute Deviation of the set: 10, 5, 7, 14, 19, 32, 25
8
16
56
112
Find the Mean Absolute Deviation of the set: 56, 21, 55, 30, 34
39.2
13.04
196
65.2
Find the Mean Absolute Deviation of the set: 12, 25, 7, 14, 11, 30
44
99
7.3
16.5
Find the Mean Absolute Deviation of the set: 6, 3, 2, 4, 8, 10
5.5
33
15
2.5
Find the Mean Absolute Deviation of the set: 48, 52, 54, 61, 30, 76, 79, 50
450
94.5
56.25
11.8
What is the definition of the Mean Absolute Deviation?
A data set is the average distance between each data value and the mean
The average of the numbers
The difference between the lowest and highest values
The "middle" value in the list of numbers
58, 38, 54, 48, 26, 36
What does M.A.D stand for?
Mean as Dirt
Mean Average Deviation
Crazy
Mean Absolute Deviation
9, 7, 11, 10, 8
True or false?:The absolute value of a number will always be positive.
True
False
What is the first step (1-2) when calculating the Mean Absolute Deviation?
Find the distance each value is from the mean
Find the mean of the data
Find the mean of the distances
What is the second step to solving for the Mean Absolute Deviation?
Find the mean of the new set of numbers
Find the mean of the given data set
Subtract the mean from each original data point
What is the last step to solving for the Mean Absolute Deviation?
Find the mean of the new set of numbers
Find the mean of the given data set
Subtract the mean from each original data point
9, 7, 11, 10, 8
